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Finding the Fourth Proportional to 11,350.50, 15,663.69 and 6,382.50

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Solution

The fourth proportional to 11,350.50, 15,663.69 and 6,382.50 is: 8,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,350.50 : 15,663.69 = 6,382.50 : x
  2. Step 2: Convert to fraction form
    11,350.50/15,663.69 = 6,382.50/x
  3. Step 3: Cross multiply
    11,350.50x = 15,663.69 × 6,382.50
  4. Step 4: Simplify right side
    11,350.50x = 99,973,501.43
  5. Step 5: Solve for x
    x = 99,973,501.43/11,350.50
  6. Step 6: Final answer
    x = 8,807.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.